If the sequence 36, 24, 16, ... is geometric, find S5. PLEASE I NEED HELP W THIS!!

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Question:

If the sequence 36, 24, 16, ... is geometric, find S5. PLEASE I NEED HELP W THIS!!

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Answer:This is a sequence of geometric and for 5 it will be 4.74Step-by-step explanation:36,24,16,7.11, and 4.74Just divided by 1.5 and you will seeHope this Helped

108Explanation:In any geometric series, we need two pieces of information to find its sum to the n-th term, and thus the sum to infinity.Firstly, we need the first term, a. This is obviously 36 in this expression.Secondly, we need the common ratio, r,. We find this by taking 24/36 =2/3 Thus a =36 and r =2/3 . also note that (R) =2/3 <1 We then apply the formula for sum of geometric series to the n -th term when (r) <1 : Sn =a(1 -rn ) / 1-r = 36 ( 1 - (2/3 ) n) / 1 -(2/3) =108 (1 -(2/3) n) The sum to infinity s ♾ is defined to be the limit of sn as n - ♾N- ♾,(2/3) n -0.sn -108 -0 =108 S ♾ =108

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